Reproducing properties and $L^p$-estimates for Bergman projections in Siegel domains of type II
Studia Mathematica, Tome 115 (1995) no. 3, p. 219.

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On homogeneous Siegel domains of type II, we prove that under certain conditions, the subspace of a weighted L p -space (0 < p < ∞) consisting of holomorphic functions is reproduced by a weighted Bergman kernel. We also obtain some L p -estimates for weighted Bergman projections. The proofs rely on a generalization of the Plancherel-Gindikin formula for the Bergman space A 2 .
Classification : 32A07, 32A25, 32M15
Mots-clés : -mapping, weighted Bergman projections, Siegel domains of type II, Plancherel-Gindikin formula 
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     author = {David B\'ekoll\'e and Anatole Temgoua Kagou},
     title = {Reproducing properties and $L^p$-estimates for {Bergman} projections in {Siegel} domains of type {II}},
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     volume = {115},
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     zbl = {0842.32016},
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David Békollé; Anatole Temgoua Kagou. Reproducing properties and $L^p$-estimates for Bergman projections in Siegel domains of type II. Studia Mathematica, Tome 115 (1995) no. 3, p. 219. https://geodesic-test.mathdoc.fr/item/STUMA_1995__115_3_216209/